GCF of 583/345, 286/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 583/345, 286/722 i.e 11/249090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/345, 286/722.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 583/345,286/722?
Given fractions are 583/345,286/722
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 583/345,286/722, numerators are 583,286
Denominators are 345,722
The GCF of 583,286 is 11 .
LCM of 345,722 is 249090.
The greatest common factor of 583/345,286/722 = [GCF of 583,286]/[LCM of 345,722]= 11/249090
Therefore, the GCF of 583/345,286/722 is 11/249090.
To find the highest common factor of 583,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 583 are 1, 11, 53, 583
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 583,286 is 11.
Lets's calculate GCF of 583,286
| 11 | 583, 286 |
| 53, 26 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 583,286 By Matching Biggest Common Factor Method
Now, list down the factors of 583
:1,11,53,583
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 583,286 . The biggest common factor number is the GCF number.
So the greatest common factor 583,286 is 11.
Lets's calculate LCM of 345,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 249090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/249090
Therefore, the GCF of Fractions 583/345,286/722 is 11/249090
Least Common Multiple of 345,722 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 345,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,722) x common factors =1 x 1 = 1
LCM(345,722) = ( 345 × 722 ) / 1
LCM(345,722) = 249090 / 1
LCM(345,722) = 249090
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FAQs on GCF of Fractions of 583/345, 286/722
1. What is the HCF of 583,286?
The HCF of 583,286 is 11
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 583/345, 286/722?
Answer: GCF of Numerators as per given numbers 583/345, 286/722 is
GCF of Numerators i.e. for 583,286 is 11
LCM of denominators i.e. for 345,722 is 249090.
Thus, GCF of Fractions is 11/249090.Finally, GCF of Fractions for 583/345, 286/722 is 11/249090.